Question: solve all ofthese Find parametrizations for the lines in which the planes in Exercises61-64 intersect.x+y+z=1,x+y=23x-6y-2z=3,2x+y-2z=2x-2y+4z=2,x+y-2z=55x-2y=11,4y-5z=-17Given two lines in space, either they are parallel, they intersect,
solve all ofthese Find parametrizations for the lines in which the planes in Exercises61-64 intersect.x+y+z=1,x+y=23x-6y-2z=3,2x+y-2z=2x-2y+4z=2,x+y-2z=55x-2y=11,4y-5z=-17Given two lines in space, either they are parallel, they intersect, or theyare skew (liein parallel planes).In Exercises 65 and 66, determinewhether the lines, taken two at a time, are parallel, intersect, or areskew. If they intersect, find the point of intersection. Otherwise, findthe distance between the two lines.L1: x=5+2r,y=1-r,z=8+3r;-x=2-s,y=3s,z=1+s;-L3: x=5+2r,y=1-r,z=8+3r;-L1:x=1+2t,y=-1-t,z=3t;-L2: x=2-s,y=3s,z=1+s;-L3: x=5+2r,y=1-r,z=8+3r;-x=3+2r,y=2+r,z=-2+2r;-L1:x=1+2t,y=-1-t,z=3t;-L2: x=2-s,y=3s,z=1+s;-L3: x=5+2r,y=1-r,z=8+3r;-L2:x=1+4s,y=1+2s,z=-3+4s;-L3: x=3+2r,y=2+r,z=-2+2r;-L1:x=1+2t,y=-1-t,z=3t;-L2: x=2-s,y=3s,z=1+s;-L3: x=5+2r,y=1-r,z=8+3r;-x=3+2t,y=-1+4t,z=2-t;-L2:x=1+4s,y=1+2s,z=-3+4s;-L3: x=3+2r,y=2+r,z=-2+2r;-L1:x=1+2t,y=-1-t,z=3t;-L2: x=2-s,y=3s,z=1+s;-L3: x=5+2r,y=1-r,z=8+3r;-
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